Show simple item record

Files in this item

Thumbnail

Item metadata

dc.contributor.authorRayneau-Kirkhope, Daniel
dc.contributor.authorZhang, Chengzhao
dc.contributor.authorTheran, Louis Simon
dc.contributor.authorDias, Marcelo
dc.date.accessioned2018-08-01T11:30:05Z
dc.date.available2018-08-01T11:30:05Z
dc.date.issued2018-02
dc.identifier.citationRayneau-Kirkhope , D , Zhang , C , Theran , L S & Dias , M 2018 , ' Analytic analysis of auxetic metamaterials through analogy with rigid link systems ' , Proceedings of the Royal Society A - Mathematical, Physical & Engineering Sciences , vol. 474 , no. 2210 , 20170753 . https://doi.org/10.1098/rspa.2017.0753en
dc.identifier.issn1364-5021
dc.identifier.otherPURE: 252069512
dc.identifier.otherPURE UUID: ae2f2845-6fea-4706-9661-27c201f6e9de
dc.identifier.otherScopus: 85043992157
dc.identifier.otherWOS: 000426468200017
dc.identifier.otherORCID: /0000-0001-5282-4800/work/73701815
dc.identifier.urihttps://hdl.handle.net/10023/15746
dc.descriptionD.R.-K. acknowledges funding support from Academy of Finland and Aalto Science Institute. C.Z. acknowledges funding from Aalto Science Institute. L.T. acknowledges funding from Aalto Science Institute thematic program ‘Challenges in large geometric structures and big data’.en
dc.description.abstractIn recent years many structural motifs have been designed with the aim of creating auxetic metamaterials. One area of particular interest in this subject is the creation of auxetic material properties through elastic instability. Such metamaterials switch from conventional behaviour to an auxetic response for loads greater than some threshold value. This paper develops a novel methodology in the analysis of auxetic metamaterials which exhibit elastic instability through analogy with rigid link lattice systems. The results of our analytic approach are confirmed by finite-element simulations for both the onset of elastic instability and post-buckling behaviour including Poisson’s ratio. The method gives insight into the relationships between mechanisms within lattices and their mechanical behaviour; as such, it has the potential to allow existing knowledge of rigid link lattices with auxetic paths to be used in the design of future buckling induced auxetic metamaterials.
dc.format.extent12
dc.language.isoeng
dc.relation.ispartofProceedings of the Royal Society A - Mathematical, Physical & Engineering Sciencesen
dc.rights© 2018, the Author(s). This work has been made available online in accordance with the publisher’s policies. This is the author created accepted version manuscript following peer review and as such may differ slightly from the final published version. The final published version of this work is available at https://doi.org/10.1098/rspa.2017.0753en
dc.subjectMechanical metamaterialsen
dc.subjectLatticesen
dc.subjectPost-bucklingen
dc.subjectAuxeticen
dc.subjectQA Mathematicsen
dc.subjectQC Physicsen
dc.subjectDASen
dc.subjectBDCen
dc.subject.lccQAen
dc.subject.lccQCen
dc.titleAnalytic analysis of auxetic metamaterials through analogy with rigid link systemsen
dc.typeJournal articleen
dc.description.versionPostprinten
dc.contributor.institutionUniversity of St Andrews. Pure Mathematicsen
dc.identifier.doihttps://doi.org/10.1098/rspa.2017.0753
dc.description.statusPeer revieweden
dc.identifier.urlhttps://arxiv.org/abs/1703.05150en


This item appears in the following Collection(s)

Show simple item record